6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$18800 \div 470 \div 20 = ?$

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given Expression = $\frac{18800}{470} \div 20$ = $40 \div 20$ = 2

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Filed Under: Simplification

12 13264

Q:

The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train ?

A) 68 kmph	B) 52 kmph
C) 76 kmph	D) 50 kmph

Answer & Explanation Answer: A) 68 kmph

Explanation:

Let the speed of the faster train be 'X' kmph,
Then their relative speed= X - 48 kmph
To cross slower train by faster train,
Distance need to be cover = (400 + 600)m = 1 km. and
Time required = 180 sec = 180/3600 hr = 1/20 hr.
Time = Distance/Speed
=> 1/20 = 1/(x-48)
X = 68 kmph

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

14 13262

Q:

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

A) 1:3	B) 1:4
C) 2:3	D) data is inadequate

Answer & Explanation Answer: C) 2:3

Explanation:

Let the principal be P and rate of interest be R%.

Required ratio = $[(\frac{\frac{P * R * 6}{100}}{\frac{P * R * 9}{100}})] = \frac{6 P R}{9 P R} = \frac{6}{9} = \frac{2}{3}$

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Filed Under: Simple Interest
Exam Prep: GRE

14 13251

Q:

How many days in 4 years?

A) 1460	B) 1461
C) 1462	D) 1459

Answer & Explanation Answer: A) 1460

Explanation:

Days in 4 years =>

Let the first year is Normal year i.e, its not Leap year. A Leap Years occurs once for every 4 years.

4 years => 365 + 365 + 365 + 366(Leap year)

4 years => 730 + 731 = 1461

Therefore, Number of Days in 4 Years = 1461 Days.

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Filed Under: Calendar
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

23 13250

Q:

The length of the rectangle is 20% more than its breadth . what will be the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle?

A) 2:1	B) 5:6
C) 6:5	D) data is inadequate

Answer & Explanation Answer: C) 6:5

Explanation:

Required ratio = $\frac{6 x}{5} \times x \times (\frac{1}{x^{2}}) = 6 : 5$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

7 13250

Q:

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity?

A) 2010	B) 2011
C) 2012	D) 2013

Answer & Explanation Answer: B) 2011

Explanation:

Suppose commodity X wil cost 40 paise more than Y after Z years. Then,

(4.20 + 0.40Z) - (6.30 + 0.15Z) = 0.40

=> 0.25Z = 0.40 + 2.10 => Z= 2.50/0.25 = 10

Therefore, X will cost 40 paise more than Y 10 years after 2001 . i.e in 2011

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Filed Under: Decimal Fractions

9 13240

Q:

Albert invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit ?

A) Rs.8600	B) Rs.8830
C) Rs.8500	D) Rs.8820

Answer & Explanation Answer: D) Rs.8820

Explanation:

Amount

=Rs.[8000x(1+5/100)²]

= Rs.[8000 x 21/20x21/20]

= Rs.8820.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

5 13237

Q:

Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

A) 10	B) 15
C) 20	D) 25

Answer & Explanation Answer: A) 10

Explanation:

20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.

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Filed Under: Percentage
Exam Prep: GRE

10 13237

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